What is the current state-of-the-art of all alpha_s determination methods from the theoretical & experimental point of view ?
What is the current size of the theoretical uncertainties: missing higher orders, electroweak corrections, power corrections, hadronization corrections,... ?
What is the expected alpha_s uncertainty in ~10 years from now: theoretical developments, plus O(1 ab-1) p-p at 14 TeV at the LHC ?
What are the expected improvements brought about by the FCC-ee: 1012 Z's at sqrt(s)=mZ; 108 W's at sqrt(s)=mWW; similar orders-of-magnitude for tau, jets,...? What are the systematic errors that the FCC-ee detectors should target in order to match the expected statistical precision, or where that is not possible, what are the important theoretical targets that should be met or exceeded?